Rihanna works in a coffee shop approximately nine miles from her apartment she bikes every day from her apartment. She bikes every day from her apartment to the coffee shop and then back to her apartment in the evening. However, on her way to work, she always stops halfway through to meet her best friend at a park, If the distance from Rihanna's apartment to the park is (5x+2) miles and the trip from the park to the coffee shop is (25x-8) miles long, then what is the value of x?

Question

Mathematics

Alejandra Noble

16 July, 07:47

Rihanna works in a coffee shop approximately nine miles from her apartment she bikes every day from her apartment. She bikes every day from her apartment to the coffee shop and then back to her apartment in the evening. However, on her way to work, she always stops halfway through to meet her best friend at a park, If the distance from Rihanna's apartment to the park is (5x+2) miles and the trip from the park to the coffee shop is (25x-8) miles long, then what is the value of x?

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Answers (1)

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Ali Hunt · Answer 1

The distance from Rihanna's apartment to the park is (5x+2) miles and the trip from the park to the coffee shop is (25x-8) miles long. It is given that Rihanna always stops halfway through to meet her best friend at a park, this means that the distance from Rihanna's apartment to the park is equal to the distance from the park to the coffee shop. Then

5x+2=25x-8.

Solve this equation, separating variables x in left side and numbers in right side:

5x-25x=-8-2,

-20x=-10,

20x=10,

x=10/20,

x=1/2=0.5.

Answer: x=0.5